Mathematical Sciences: Linear Topological Properties of Certain Quasi-Banach Spaces of Analytic Functions

Eoff教授将研究线性拓扑性质 两个函数空间的拟Banach 自然拓扑下的空间。 的主要问题之一 所涉及的是刻画这些空间的Banach包络。 在其中一个空间的情况下，Eoff教授有一个 她会尝试验证的猜测。 所涉及的空间是相当不寻常的，从许多点， 在许多基本属性中， 研究函数空间的数学家是缺席的。 然而，在这方面， 这些空间在分析某些类型的 功能，因此理解是很重要的。 Eoff教授 研究将揭开围绕这些问题的一些神秘面纱， 空间. 该项目是研究机会的一部分， 妇女活动。

Professor Eoff will study the linear topological properties of two spaces of functions which turn out to be quasi-Banach spaces under their natural topologies. One of the main problems involved is to characterize the Banach envelopes of these spaces. In the case of one of these spaces, Professor Eoff has a conjecture she will try to verify. The spaces involved are rather unusual from many points of view in that many of the basic properties familiar to mathematicians who work on function spaces are absent. However, these spaces arise naturally in the analysis of certain types of functions and thus are important to understand. Professor Eoff's research will remove some of the mystery surrounding these spaces. This project is part of the Research Opportunities for Women activity.